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22200230322 = 23231476113877
BaseRepresentation
bin10100101011001111…
…001010000110110010
32010022011122112211200
4110223033022012302
5330431224332242
614110523552030
71414066562364
oct245317120662
963264575750
1022200230322
1194624a6696
12437698b616
13212a48a07a
1411085c2d34
1589ded104c
hex52b3ca1b2

22200230322 has 96 divisors (see below), whose sum is σ = 51543558144. Its totient is φ = 6893596800.

The previous prime is 22200230309. The next prime is 22200230329. The reversal of 22200230322 is 22303200222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22200230295 and 22200230304.

It is not an unprimeable number, because it can be changed into a prime (22200230329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1592848 + ... + 1606724.

It is an arithmetic number, because the mean of its divisors is an integer number (536912064).

Almost surely, 222200230322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22200230322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25771779072).

22200230322 is an abundant number, since it is smaller than the sum of its proper divisors (29343327822).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22200230322 is a wasteful number, since it uses less digits than its factorization.

22200230322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14024 (or 14021 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 22200230322 its reverse (22303200222), we get a palindrome (44503430544).

The spelling of 22200230322 in words is "twenty-two billion, two hundred million, two hundred thirty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 47 61 62 93 94 122 141 183 186 279 282 366 423 549 558 846 1098 1457 1891 2867 2914 3782 4371 5673 5734 8601 8742 11346 13113 13877 17019 17202 25803 26226 27754 34038 41631 51606 83262 88877 124893 177754 249786 266631 430187 533262 652219 799893 846497 860374 1290561 1304438 1599786 1692994 1956657 2539491 2581122 3871683 3913314 5078982 5869971 7618473 7743366 11739942 15236946 20218789 26241407 39785359 40437578 52482814 60656367 78724221 79570718 119356077 121312734 157448442 181969101 236172663 238712154 358068231 363938202 472345326 716136462 1233346129 2466692258 3700038387 7400076774 11100115161 22200230322